Simplify $3 \cdot \left( \frac { 1 } { 2 } \right) ^ { 3 } \cdot \left( \frac { 1 } { 3 } \right) ^ { 2 }$

question 66

Multiple Choice

Simplify: $3 \cdot \left( \frac { 1 } { 2 } \right) ^ { 3 } \cdot \left( \frac { 1 } { 3 } \right) ^ { 2 }$

• A) \(\frac { 1 } { 8 }\)
• B) \(\frac { 1 } { 48 }\)
• C) \(\frac { 9 } { 2 }\)
• D) \(27\)
• E) \(\frac { 1 } { 24 }\)

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Definitions:

Discount Rate

The interest rate charged by central banks on loans they provide to commercial banks, influencing monetary policy and the money supply.

Required Reserve Ratio

The required reserve ratio is the portion of depositors' balances that banks must have on hand as cash, set by central banking authorities to ensure liquidity.

Taxes

Obligatory financial impositions or another sort of tax placed on individuals by government institutions designed to support government expenditure and multiple public financial needs.

Expansionary Monetary Policy

A form of macroeconomic policy that aims to increase the money supply and typically lower interest rates to stimulate economic growth.